409590 has 64 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 103680.

The previous prime is 409589. The next prime is 409597. The reversal of 409590 is 95904.

It is a happy number.

It is a super-3 number, since 3×409590³ = 206143331082237000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9970 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2⁴⁰⁹⁵⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

409590 is an abundant number, since it is smaller than the sum of its proper divisors (739530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409590 is a wasteful number, since it uses less digits than its factorization.

409590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 409590 is about 639.9921874523. The cubic root of 409590 is about 74.2648169593.

It can be divided in two parts, 409 and 590, that added together give a palindrome (999).

The spelling of 409590 in words is "four hundred nine thousand, five hundred ninety".